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Finding the Fourth Proportional to 56,364.50, 84,559.71 and 19,428.50

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Solution

The fourth proportional to 56,364.50, 84,559.71 and 19,428.50 is: 29,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,364.50 : 84,559.71 = 19,428.50 : x
  2. Step 2: Convert to fraction form
    56,364.50/84,559.71 = 19,428.50/x
  3. Step 3: Cross multiply
    56,364.50x = 84,559.71 × 19,428.50
  4. Step 4: Simplify right side
    56,364.50x = 1,642,868,325.74
  5. Step 5: Solve for x
    x = 1,642,868,325.74/56,364.50
  6. Step 6: Final answer
    x = 29,147.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.